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Article · Doklady Mathematics · August 1, 2024
On Removable Singularities of Harmonic Functions on a Stratified Set
N. S. Dairbekov, O. M. Penkin, Денис Владимирович Савастеев
Abstract
We consider sets removable for bounded harmonic functions on a stratified set with flat interior strata. It is proved that relatively closed sets of finite Hausdorff $$(n - 2)$$ -measure are removable for bounded harmonic functions on an n-dimensional stratified set satisfying the strong sturdiness condition.
Advanced Harmonic Analysis ResearchGeometric Analysis and Curvature FlowsMathematical and Theoretical Analysisremovable singularitiesbounded harmonic functionsstratified sets
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